POWER SERIES TRUNCATION USING CONSTANT TABLES FOR FUNCTION INTERPOLATION IN TRANSCENDENTAL FUNCTIONS
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United States of America
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Sep 4, 2019
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Sep 4, 2019
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A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.
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